Finding the Third Proportional to 9,636 and 21,468

Step by Step Solution

1. Step 1: Write the proportion equation
   9,636 : 21,468 = 21,468 : x
2. Step 2: Convert to fraction form
   9,636/21,468 = 21,468/x
3. Step 3: Cross multiply
   9,636x = 21,468 × 21,468
4. Step 4: Simplify right side
   9,636x = 460,875,024
5. Step 5: Solve for x
   x = 460,875,024/9,636
6. Step 6: Final answer
   x = 47,828.46